- \(\text{L}\) represents the set of Landuses.
- \(\text{C}\) represents the set of Cells.
- \(\text{S}\) represents Richness.
- \(\text{PD}\) represents PhyloDiversity.
- \(\text{R}\) represents Rarity.
- \(\text{CC}\) represents CanChange.
- \(\text{SCB}\) represents SpatialContiguityBonus.
- \(\text{EN}\) represents Existingnature.
16/05, 2024
Definitions
Biodivesity
\[\color{Red}{\text{Biodiversity} = \sum_{l}^L \sum_{c}^C \text{LD}_{l,c} \times \frac{\text{S}_{l,c} + \text{PD}_{l,c} + \text{R}_{l,c}}{3} \times \text{CC}_{c}}\]
Contiguity to new nature
\[ \color{Blue}{\text{Contiguity to new} = \text{SCB} \times \sum_{(i,j)}^E \sum_{l}^L \sum_{c}^C \text{LD}_{l,i} \times \text{LD}_{l,j} \times \text{CC}_{i} \times \text{CC}_{j} } \]
Contiguity to existing nature
\[ \color{Green}{\text{Contiguity to existing} = \text{SCB} \times \sum_{(i,j)}^E \sum_{l}^L \sum_{c}^C \text{LD}_{l,i} \times \text{EN}_{l,j} \times \text{CC}_{i}} \]
Optimization function
\[ \text{maximize CI} = \color{Red}{\text{Biodiversity}} + \color{Purple}{\text{SCB}} \times \left( \color{Blue}{\text{Cont}_n} + \color{Green}{\text{Cont}_{ex}} \right) \]
- Spatial Contiguity Bonus (SCB) is a dial
Example Landuse (Global contribution)
\[ \text{maximize CI} = \color{Red}{\text{Biodiversity}} + \color{Purple}{\text{SCB}} \times \left( \color{Blue}{\text{Cont}_n} \right) \]
Local contribution
Before after
